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38469096 = 23321753593
BaseRepresentation
bin1001001010111…
…1110111101000
32200101102200100
42102233313220
534322002341
63452305400
7644660541
oct222576750
980342610
1038469096
111a795446
1210a72260
137c7baa3
1451754c8
15359d3b6
hex24afde8

38469096 has 96 divisors (see below), whose sum is σ = 112586760. Its totient is φ = 11821056.

The previous prime is 38469073. The next prime is 38469097. The reversal of 38469096 is 69096483.

It can be written as a sum of positive squares in 4 ways, for example, as 38266596 + 202500 = 6186^2 + 450^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38469097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64576 + ... + 65168.

Almost surely, 238469096 is an apocalyptic number.

38469096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38469096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56293380).

38469096 is an abundant number, since it is smaller than the sum of its proper divisors (74117664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38469096 is a wasteful number, since it uses less digits than its factorization.

38469096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 38469096 is about 6202.3460077619. The cubic root of 38469096 is about 337.5752984255.

The spelling of 38469096 in words is "thirty-eight million, four hundred sixty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 53 68 72 102 106 136 153 159 204 212 306 318 408 424 477 593 612 636 901 954 1186 1224 1272 1779 1802 1908 2372 2703 3558 3604 3816 4744 5337 5406 7116 7208 8109 10081 10674 10812 14232 16218 20162 21348 21624 30243 31429 32436 40324 42696 60486 62858 64872 80648 90729 94287 120972 125716 181458 188574 241944 251432 282861 362916 377148 534293 565722 725832 754296 1068586 1131444 1602879 2137172 2262888 3205758 4274344 4808637 6411516 9617274 12823032 19234548 38469096